Can blend files be queued for animation rendering?
Sounds like a job for Command Line Rendering. Sounds intimidating if you've never done it, but it's a simple matter of stealing someone's template and adjusting the parameters:

Windows: blender -b "C:\path\to\file.blend" -x 1 -a

Linux/Mac: blender -b "/path/to/file.blend" -x 1 -a

That's the simplest form of it which will use all the settings in the blend itself. 
To make a cue of it, simply put '&amp;&amp;' between the commands:

blender -b "C:\path\to\file.blend" -x 1 -a &amp;&amp; blender -b "C:\some\other\project.blend" -x 1 -a &amp;&amp; blender -b "C:\yes\another\one.blend" -x 1 -a

To adjust settings like start and end frames, path of the outputed images/video, whether to render the animation or a single frame, check out the wiki page on Command Line Rendering.

It's also useful to tell it to shutdown your computer when it's finished simply by adding this at the end:

Windows: &amp;&amp; shutdown /s /t 0

Linux/Mac: &amp;&amp; sudo shutdown -h now

And here's one with start/end frame set, output path and format and shutdown when done:

blender -b "C:\En Passant\08-08\shots\s1\awake\awake.blend" -x 1 -o "C:\En Passant\bear_render\awake\img_#" -F PNG -s 119 -e 150 -a &amp;&amp; shutdown /s /t 0

Note that if it doesn't recognize the 'blender' command, you just need to cd into the directory of the blender executable before it'll understand you. E.g:

Windows: cd "C:\Program Files\Blender Foundation\Blender"

Linux/Mac: cd "/home/user/Downloads/Blender"